Search a number
-
+
82214424 = 23321141867
BaseRepresentation
bin1001110011001…
…11111000011000
312201200220222200
410321213320120
5132021330144
612054050200
72015545125
oct471477030
9181626880
1082214424
1142453a06
1223649960
13140572b6
14acc174c
15733ec69
hex4e67e18

82214424 has 24 divisors (see below), whose sum is σ = 222664260. Its totient is φ = 27404784.

The previous prime is 82214423. The next prime is 82214441. The reversal of 82214424 is 42441228.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82214423) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 570862 + ... + 571005.

Almost surely, 282214424 is an apocalyptic number.

It is an amenable number.

82214424 is an abundant number, since it is smaller than the sum of its proper divisors (140449836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82214424 is a wasteful number, since it uses less digits than its factorization.

82214424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141879 (or 1141872 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 82214424 is about 9067.2169931021. The cubic root of 82214424 is about 434.8265023523.

The spelling of 82214424 in words is "eighty-two million, two hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1141867 2283734 3425601 4567468 6851202 9134936 10276803 13702404 20553606 27404808 41107212 82214424